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Lesson: Roots of Monomials

In this lesson, we will learn how to simplify roots of monomials involving single and multiple variables.

Sample Question Videos

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Worksheet • 8 Questions • 3 Videos

Q1:

Calculate 9 × 9 9 × 9 4 2 3 5 .

  • A 1 9
  • B 1 9 7
  • C 1 8 1
  • D 81
  • E 9

Q2:

Simplify √ 1 0 0 𝑥 1 6 .

  • A 1 0 𝑥 8
  • B 1 0 0 | 𝑥 |
  • C 1 0 | 𝑥 |
  • D 1 0 0 𝑥 8
  • E 1 0 𝑥 1 6

Q3:

Calculate 1 4 × 1 4 .

  • A 1 1 2 8
  • B 1 4
  • C 1 8
  • D 1 2
  • E 1 1 6 , 3 8 4

Q4:

Simplify √ 6 4 𝑥 3 7 2 .

  • A 2 𝑥 1 2
  • B 6 4 𝑥 1 2
  • C 4 𝑥 2 4
  • D 2 𝑥 7 2
  • E 8 𝑥 3 6

Q5:

Simplify 3 3 5 1 2 𝑥 6 3 .

  • A 2 𝑥 7
  • B 6 4 𝑥 7
  • C 4 𝑥 1 4
  • D 2 𝑥 4 2
  • E 8 𝑥 2 1

Q6:

Which of the following has the same value as 3 √ 7 2 9 𝑚 𝑛 1 2 2 1 ?

  • Athe length of one side of a cube whose volume is 7 2 9 𝑚 𝑛 1 2 2 1
  • Bthe length of one side of a square whose area is 7 2 9 𝑚 𝑛 1 2 2 1
  • Cthe expression 7 2 9 𝑚 𝑛 1 2 2 1
  • Dthe expression 2 4 3 𝑚 𝑛 4 7

Q7:

Simplify 2 √ 6 4 𝑥 𝑦 + √ 8 𝑥 4 6 8 3 .

  • A ( 4 𝑥 𝑦 + 2 𝑥 ) √ 2 𝑥 2
  • B ( 4 𝑥 𝑦 + 2 𝑥 ) √ 2 𝑥 2 4
  • C ( 4 𝑥 𝑦 ) √ 2 𝑥 2
  • D ( 2 𝑥 ) √ 2 𝑥
  • E ( 6 𝑥 𝑦 ) √ 2 𝑥 2

Q8:

Simplify 2 √ 6 4 𝑥 𝑦 + √ 2 𝑥 4 6 8 .

  • A ( 4 𝑥 𝑦 + 1 ) √ 2 𝑥 2
  • B √ 2 𝑥
  • C 4 𝑥 𝑦 + 1 √ 2 𝑥 2
  • D ( 4 𝑥 𝑦 + 1 ) √ 2 𝑥 2 4
  • E 4 𝑥 𝑦 + √ 2 𝑥 2
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